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Finding the Fourth Proportional to 1,932.47, 2,899.64 and 958.36

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Solution

The fourth proportional to 1,932.47, 2,899.64 and 958.36 is: 1,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.47 : 2,899.64 = 958.36 : x
  2. Step 2: Convert to fraction form
    1,932.47/2,899.64 = 958.36/x
  3. Step 3: Cross multiply
    1,932.47x = 2,899.64 × 958.36
  4. Step 4: Simplify right side
    1,932.47x = 2,778,898.99
  5. Step 5: Solve for x
    x = 2,778,898.99/1,932.47
  6. Step 6: Final answer
    x = 1,438.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.